Author:
Lucas Stephen K.,Nimbran Amrik Singh
Abstract
We describe various methods to derive monotonic infinite series for fractions near π and obtain a variety of series for the special case of its convergents. These series immediately show that π is clearly different from these fractions, replicating with series the results in Dalzell [1, 2] and Lucas that used integrals with non-negative integrands to represent the gaps between π and fractions.
Publisher
Cambridge University Press (CUP)